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arXiv · 1703.06639

$(n,\rho)-$harmonic mappings and energy minimal deformations between annuli

David Kalaj
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Abstract

We extend the main results obtained by Iwaniec and Onninen in Memoirs of the AMS (2012). In the paper it is solved the minimization problem of $(\rho,n)$ energy of Sobolev homeomorphisms between two concentric annuli in the Euclidean space $\mathbf{R}^n$. Here $\rho$ is a radial metric defined in the image annulus. The key of the proofs comes from the solution to the Euler-Lagrange equation for radial harmonic mapping. This is a new contribution on the topic of famous Nitsche conjecture.

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David Kalaj. 2017-03-20. $(n,\rho)-$harmonic mappings and energy minimal deformations between annuli. https://arxiv.org/abs/1703.06639

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